Counting genus one fibered knots in Lens spaces

DOI10.1307/mmj/1409932633zbMath1304.57024arXivmath/0510391OpenAlexW2000163246MaRDI QIDQ464664

Kenneth L. Baker

Publication date: 29 October 2014

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510391

zbMATH Keywords

lens spacegenus one knot3-braiddouble branched coverfibered knottwo-bridge link

Mathematics Subject Classification ID

Related Items (6)

Genus one fibered knots in 3-manifolds with reducible genus two Heegaard splittings ⋮ On manifolds with multiple lens space fillings ⋮ A cabling conjecture for knots in lens spaces ⋮ The Poincaré homology sphere, lens space surgeries, and some knots with tunnel number two ⋮ Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces ⋮ Integral left-orderable surgeries on genus one fibered knots

Uses Software

• SnapPea

Cites Work

• Once-punctured tori and knots in Lens spaces
• Double branched covers and pretzel knots
• Genus one fibered knots in lens spaces
• Heegard splittings of prime 3-manifolds are not unique
• Studying links via closed braids. III: Classifying links which are closed 3-braids
• Generalised Fibonacci manifolds
• Neuwirtsche Knoten und Flächenabbildungen
• On the Braid Index of Alternating Links
• The skein polynomial of closed 3-braids
• Heegaard Floer homology and genus one, one-boundary component open books
• Piecewise Linear Isotopy and Embedding of Elements and Spheres (I)

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